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Gabbay, Murdoch James

Author ID: gabbay.murdoch-james Recent zbMATH articles by "Gabbay, Murdoch James"
Published as: Gabbay, Murdoch J.; Gabbay, Murdoch; Gabbay, Murdoch James

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 1,104 times in 491 Documents Cited by Year
Stone duality for nominal Boolean algebras with {И}. Zbl 1241.68050
Gabbay, Murdoch J.; Litak, Tadeusz; Petrişan, Daniela
457
2011
A new approach to abstract syntax with variable binding. Zbl 1001.68083
Gabbay, Murdoch J.; Pitts, Andrew M.
162
2002
Nominal unification. Zbl 1078.68140
Urban, Christian; Pitts, Andrew M.; Gabbay, Murdoch J.
68
2004
FreshML: programming with binders made simple. Zbl 1315.68058
Shinwell, Mark R.; Pitts, Andrew M.; Gabbay, Murdoch J.
47
2003
Nominal rewriting. Zbl 1118.68075
Fernández, Maribel; Gabbay, Murdoch J.
43
2007
A metalanguage for programming with bound names modulo renaming. Zbl 0963.68502
Pitts, Andrew M.; Gabbay, Murdoch J.
32
2000
Nominal (universal) algebra: equational logic with names and binding. Zbl 1191.08003
Gabbay, Murdoch J.; Mathijssen, Aad
29
2009
Foundations of nominal techniques: logic and semantics of variables in abstract syntax. Zbl 1253.03059
Gabbay, Murdoch J.
16
2011
Capture-avoiding substitution as a nominal algebra. Zbl 1152.68025
Gabbay, Murdoch J.; Mathijssen, Aad
16
2008
Nominal unification. Zbl 1116.03322
Urban, Christian; Pitts, Andrew; Gabbay, Murdoch
16
2003
One-and-a-halfth-order logic. Zbl 1158.03006
Gabbay, Murdoch J.; Mathijssen, Aad
14
2008
Freshness and name-restriction in sets of traces with names. Zbl 1241.68049
Gabbay, Murdoch J.; Ciancia, Vincenzo
14
2011
Nominal renaming sets. Zbl 1182.03065
Gabbay, Murdoch J.; Hofmann, Martin
13
2008
Capture-avoiding substitution as a nominal algebra. Zbl 1152.68454
Gabbay, Murdoch J.; Mathijssen, Aad
13
2006
A formal calculus for informal equality with binding. Zbl 1213.03038
Gabbay, Murdoch J.; Mathijssen, Aad
13
2007
Permissive nominal terms and their unification: an infinite, co-infinite approach to nominal techniques. Zbl 1215.03048
Dowek, Gilles; Gabbay, Murdoch J.; Mulligan, Dominic P.
12
2010
A general mathematics of names. Zbl 1123.03047
Gabbay, Murdoch J.
11
2007
Nominal algebra and the HSP theorem. Zbl 1163.03017
Gabbay, Murdoch J.
10
2009
The \(\pi\)-calculus in FM. Zbl 1063.68073
Gabbay, Murdoch J.
9
2003
A nominal axiomatization of the lambda calculus. Zbl 1198.03023
Gabbay, Murdoch J.; Mathijssen, Aad
8
2010
SOS for higher order processes. Zbl 1134.68450
Mousavi, Mohammad Reza; Gabbay, Murdoch J.; Reniers, Michel A.
8
2005
One-and-a-halfth order terms: Curry-Howard and incomplete derivations. Zbl 1156.03013
Gabbay, Murdoch J.; Mulligan, Dominic P.
7
2008
Checking overlaps of nominal rewriting rules. Zbl 1401.68131
Ayala-Rincón, Mauricio; Fernández, Maribel; Gabbay, Murdoch James; Rocha-Oliveira, Ana Cristina
7
2016
A study of substitution, using nominal techniques and Fraenkel-Mostowksi sets. Zbl 1159.03019
Gabbay, Murdoch J.
7
2009
Fresh logic: Proof-theory and semantics for FM and nominal techniques. Zbl 1124.03010
Gabbay, Murdoch J.
7
2007
Nominal SOS. Zbl 1342.68193
Cimini, Matteo; Mousavi, Mohamamdreza; Reniers, Michel A.; Gabbay, Murdoch J.
6
2012
Leaving the nest: nominal techniques for variables with interleaving scopes. Zbl 1373.68179
Gabbay, Murdoch J.; Ghica, Dan R.; Petrisan, Daniela
5
2015
Permissive-nominal logic: first-order logic over nominal terms and sets. Zbl 1352.03042
Dowek, Gilles; Gabbay, Murdoch J.
5
2012
Meta-variables as infinite lists in nominal terms unification and rewriting. Zbl 1278.68119
Gabbay, Murdoch J.
5
2012
Curry-style types for nominal terms. Zbl 1178.68150
Fernández, Maribel; Gabbay, Murdoch J.
5
2007
Two-level nominal sets and semantic nominal terms: an extension of nominal set theory for handling meta-variables. Zbl 1228.68022
Gabbay, Murdoch J.
4
2011
The lambda-context calculus (extended version). Zbl 1192.68137
Gabbay, Murdoch J.; Lengrand, Stéphane
4
2009
Hierarchical nominal terms and their theory of rewriting. Zbl 1278.68120
Gabbay, Murdoch J.
3
2007
The \(\lambda\)-context calculus. Zbl 1278.03036
Gabbay, Murdoch J.; Lengrand, Stéphane
3
2008
Two-level lambda-calculus. Zbl 1347.68051
Gabbay, Murdoch J.
3
2009
Finite and infinite support in nominal algebra and logic: nominal completeness theorems for free. Zbl 1251.03035
Gabbay, Murdoch J.
3
2012
Game semantics in the nominal model. Zbl 1342.68195
Gabbay, Murdoch; Ghica, Dan
3
2012
A simple class of Kripke-style models in which logic and computation have equal standing. Zbl 1253.03058
Gabbay, Michael; Gabbay, Murdoch J.
3
2010
Semantics out of context: nominal absolute denotations for first-order logic and computation. Zbl 1426.68158
Gabbay, Murdoch J.
2
2016
Representation and duality of the untyped \(\lambda\)-calculus in nominal lattice and topological semantics, with a proof of topological completeness. Zbl 1422.03023
Gabbay, Murdoch J.; Gabbay, Michael
2
2017
The lambda-calculus is nominal algebraic. Zbl 1226.03028
Gabbay, Murdoch J.; Mathijssen, Aad
2
2008
Imaginary groups: lazy monoids and reversible computation. Zbl 1286.68132
Gabbay, Murdoch J.; Kropholler, Peter H.
1
2013
Equivariant ZFA and the foundations of nominal techniques. Zbl 1515.03203
Gabbay, Murdoch
1
2020
PNL to HOL: from the logic of nominal sets to the logic of higher-order functions. Zbl 1309.03013
Dowek, Gilles; Gabbay, Murdoch J.
1
2012
Denotation of contextual modal type theory (CMTT): syntax and meta-programming. Zbl 1280.03037
Gabbay, Murdoch J.; Nanevski, Aleksandar
1
2013
Some formal considerations on Gabbay’s restart rule in natural deduction and goal-directed reasoning. Zbl 1279.03078
Gabbay, Michael; Gabbay, Murdoch
1
2005
\(a\)-logic. Zbl 1284.03196
Gabbay, Murdoch J.; Gabbay, Michael J.
1
2005
Principal types for nominal theories. Zbl 1241.68048
Fairweather, Elliot; Fernández, Maribel; Gabbay, Murdoch J.
1
2011
Equivariant ZFA and the foundations of nominal techniques. Zbl 1515.03203
Gabbay, Murdoch
1
2020
Representation and duality of the untyped \(\lambda\)-calculus in nominal lattice and topological semantics, with a proof of topological completeness. Zbl 1422.03023
Gabbay, Murdoch J.; Gabbay, Michael
2
2017
Checking overlaps of nominal rewriting rules. Zbl 1401.68131
Ayala-Rincón, Mauricio; Fernández, Maribel; Gabbay, Murdoch James; Rocha-Oliveira, Ana Cristina
7
2016
Semantics out of context: nominal absolute denotations for first-order logic and computation. Zbl 1426.68158
Gabbay, Murdoch J.
2
2016
Leaving the nest: nominal techniques for variables with interleaving scopes. Zbl 1373.68179
Gabbay, Murdoch J.; Ghica, Dan R.; Petrisan, Daniela
5
2015
Imaginary groups: lazy monoids and reversible computation. Zbl 1286.68132
Gabbay, Murdoch J.; Kropholler, Peter H.
1
2013
Denotation of contextual modal type theory (CMTT): syntax and meta-programming. Zbl 1280.03037
Gabbay, Murdoch J.; Nanevski, Aleksandar
1
2013
Nominal SOS. Zbl 1342.68193
Cimini, Matteo; Mousavi, Mohamamdreza; Reniers, Michel A.; Gabbay, Murdoch J.
6
2012
Permissive-nominal logic: first-order logic over nominal terms and sets. Zbl 1352.03042
Dowek, Gilles; Gabbay, Murdoch J.
5
2012
Meta-variables as infinite lists in nominal terms unification and rewriting. Zbl 1278.68119
Gabbay, Murdoch J.
5
2012
Finite and infinite support in nominal algebra and logic: nominal completeness theorems for free. Zbl 1251.03035
Gabbay, Murdoch J.
3
2012
Game semantics in the nominal model. Zbl 1342.68195
Gabbay, Murdoch; Ghica, Dan
3
2012
PNL to HOL: from the logic of nominal sets to the logic of higher-order functions. Zbl 1309.03013
Dowek, Gilles; Gabbay, Murdoch J.
1
2012
Stone duality for nominal Boolean algebras with {И}. Zbl 1241.68050
Gabbay, Murdoch J.; Litak, Tadeusz; Petrişan, Daniela
457
2011
Foundations of nominal techniques: logic and semantics of variables in abstract syntax. Zbl 1253.03059
Gabbay, Murdoch J.
16
2011
Freshness and name-restriction in sets of traces with names. Zbl 1241.68049
Gabbay, Murdoch J.; Ciancia, Vincenzo
14
2011
Two-level nominal sets and semantic nominal terms: an extension of nominal set theory for handling meta-variables. Zbl 1228.68022
Gabbay, Murdoch J.
4
2011
Principal types for nominal theories. Zbl 1241.68048
Fairweather, Elliot; Fernández, Maribel; Gabbay, Murdoch J.
1
2011
Permissive nominal terms and their unification: an infinite, co-infinite approach to nominal techniques. Zbl 1215.03048
Dowek, Gilles; Gabbay, Murdoch J.; Mulligan, Dominic P.
12
2010
A nominal axiomatization of the lambda calculus. Zbl 1198.03023
Gabbay, Murdoch J.; Mathijssen, Aad
8
2010
A simple class of Kripke-style models in which logic and computation have equal standing. Zbl 1253.03058
Gabbay, Michael; Gabbay, Murdoch J.
3
2010
Nominal (universal) algebra: equational logic with names and binding. Zbl 1191.08003
Gabbay, Murdoch J.; Mathijssen, Aad
29
2009
Nominal algebra and the HSP theorem. Zbl 1163.03017
Gabbay, Murdoch J.
10
2009
A study of substitution, using nominal techniques and Fraenkel-Mostowksi sets. Zbl 1159.03019
Gabbay, Murdoch J.
7
2009
The lambda-context calculus (extended version). Zbl 1192.68137
Gabbay, Murdoch J.; Lengrand, Stéphane
4
2009
Two-level lambda-calculus. Zbl 1347.68051
Gabbay, Murdoch J.
3
2009
Capture-avoiding substitution as a nominal algebra. Zbl 1152.68025
Gabbay, Murdoch J.; Mathijssen, Aad
16
2008
One-and-a-halfth-order logic. Zbl 1158.03006
Gabbay, Murdoch J.; Mathijssen, Aad
14
2008
Nominal renaming sets. Zbl 1182.03065
Gabbay, Murdoch J.; Hofmann, Martin
13
2008
One-and-a-halfth order terms: Curry-Howard and incomplete derivations. Zbl 1156.03013
Gabbay, Murdoch J.; Mulligan, Dominic P.
7
2008
The \(\lambda\)-context calculus. Zbl 1278.03036
Gabbay, Murdoch J.; Lengrand, Stéphane
3
2008
The lambda-calculus is nominal algebraic. Zbl 1226.03028
Gabbay, Murdoch J.; Mathijssen, Aad
2
2008
Nominal rewriting. Zbl 1118.68075
Fernández, Maribel; Gabbay, Murdoch J.
43
2007
A formal calculus for informal equality with binding. Zbl 1213.03038
Gabbay, Murdoch J.; Mathijssen, Aad
13
2007
A general mathematics of names. Zbl 1123.03047
Gabbay, Murdoch J.
11
2007
Fresh logic: Proof-theory and semantics for FM and nominal techniques. Zbl 1124.03010
Gabbay, Murdoch J.
7
2007
Curry-style types for nominal terms. Zbl 1178.68150
Fernández, Maribel; Gabbay, Murdoch J.
5
2007
Hierarchical nominal terms and their theory of rewriting. Zbl 1278.68120
Gabbay, Murdoch J.
3
2007
Capture-avoiding substitution as a nominal algebra. Zbl 1152.68454
Gabbay, Murdoch J.; Mathijssen, Aad
13
2006
SOS for higher order processes. Zbl 1134.68450
Mousavi, Mohammad Reza; Gabbay, Murdoch J.; Reniers, Michel A.
8
2005
Some formal considerations on Gabbay’s restart rule in natural deduction and goal-directed reasoning. Zbl 1279.03078
Gabbay, Michael; Gabbay, Murdoch
1
2005
\(a\)-logic. Zbl 1284.03196
Gabbay, Murdoch J.; Gabbay, Michael J.
1
2005
Nominal unification. Zbl 1078.68140
Urban, Christian; Pitts, Andrew M.; Gabbay, Murdoch J.
68
2004
FreshML: programming with binders made simple. Zbl 1315.68058
Shinwell, Mark R.; Pitts, Andrew M.; Gabbay, Murdoch J.
47
2003
Nominal unification. Zbl 1116.03322
Urban, Christian; Pitts, Andrew; Gabbay, Murdoch
16
2003
The \(\pi\)-calculus in FM. Zbl 1063.68073
Gabbay, Murdoch J.
9
2003
A new approach to abstract syntax with variable binding. Zbl 1001.68083
Gabbay, Murdoch J.; Pitts, Andrew M.
162
2002
A metalanguage for programming with bound names modulo renaming. Zbl 0963.68502
Pitts, Andrew M.; Gabbay, Murdoch J.
32
2000
all top 5

Cited by 545 Authors

23 Fernández, Maribel
23 Gabbay, Murdoch James
15 Ayala-Rincón, Mauricio
13 Pitts, Andrew M.
12 Tzevelekos, Nikos
10 Sobrinho, Daniele Nantes
8 Cheney, James
8 Murawski, Andrzej S.
7 Kurz, Alexander
7 Milius, Stefan
6 Ciancia, Vincenzo
6 Klin, Bartek
6 Parrow, Joachim
6 Urbat, Henning
5 Calvès, Christophe
5 Ferrari, Gian Luigi
5 Kutsia, Temur
5 Montanari, Ugo G.
5 Rocha-Oliveira, Ana Cristina
5 Schmidt-Schauß, Manfred
4 Åman Pohjola, Johannes
4 de Carvalho-Segundo, Washington
4 Gabbay, Michael J.
4 Ghica, Dan R.
4 Hüttel, Hans
4 Keshvardoost, Khadijeh
4 Kozen, Dexter C.
4 Kutz, Yunus D. K.
4 Petrisan, Daniela Luan
4 Pientka, Brigitte
4 Sammartino, Matteo
4 Schröder, Lutz
4 Silva, Alexandra
4 Triebel, Hans
4 Volosivets, Sergeĭ Sergeevich
3 Aceto, Luca
3 Alexandru, Andrei
3 Bojańczyk, Mikołaj
3 Borgström, Johannes
3 Cardelli, Luca
3 Ciobanu, Gabriel
3 Clouston, Ranald A.
3 Copello, Ernesto
3 Crole, Roy L.
3 Degano, Pierpaolo
3 Fábregas, Ignacio
3 Fiore, Marcelo P.
3 García-Pérez, Álvaro
3 Golubov, Boris Ivanovich
3 Guliyev, Vagif Sabir
3 Hofmann, Martin
3 Ingólfsdóttir, Anna
3 Kikuchi, Kentaro
3 Lenglet, Sergueï
3 Levy, Jordi
3 Ligun, A. A.
3 Lybech, Stian
3 Mahmoudi, Mojgan
3 Miculan, Marino
3 Moerman, Joshua
3 Oswald, Peter
3 Popescu, Andrei
3 Ramazanov, Abdul-Rashid Kekhrimanovich
3 Reniers, Michel Adriaan
3 Schmitt, Alan
3 Shinwell, Mark R.
3 Silva, Gabriel Ferreira
3 Staton, Sam
3 Szasz, Nora
3 Taha, Walid
3 Tasistro, Alvaro
3 Traytel, Dmitry
3 Urban, Christian
3 Victor, Björn
3 Villaret, Mateu
2 Adámek, Jiří
2 Akhobadze, T. I.
2 Ancona, Davide
2 Aoto, Takahito
2 Balco, Samuel
2 Baumgartner, Alexander
2 Bavrin, Ivan Ivanovich
2 Belov, Aleksandr S.
2 Bengtson, Jesper
2 Benton, Nick
2 Bergstra, Jan A.
2 Brunet, Paul
2 Ciaffaglione, Alberto
2 Dolzhenko, Evgeniĭ Prokof’evich
2 Domínguez, Jesús Emilio
2 Dzhrbashyan, Mkhitar Mkrtichevich
2 Gadducci, Fabio
2 Gallego Arias, Emilio Jesús
2 Gardner, Philippa Anne
2 Gevorkyan, Gegham G.
2 Ghelli, Giorgio
2 Gheri, Lorenzo
2 Giannini, Paola
2 Grabowski, Janusz
2 Harper, Robert
...and 445 more Authors
all top 5

Cited in 52 Serials

159 Analysis Mathematica
21 Theoretical Computer Science
20 Information and Computation
18 Journal of Automated Reasoning
12 Acta Mathematica Hungarica
12 Mathematical Structures in Computer Science
12 Logical Methods in Computer Science
10 Russian Mathematical Surveys
9 Transformation Groups
7 Journal of Functional Programming
6 Journal of Logical and Algebraic Methods in Programming
5 Journal of Computer and System Sciences
4 Applied Mathematics and Mechanics. (English Edition)
3 The Journal of Symbolic Logic
3 Annals of Pure and Applied Logic
3 Journal of Symbolic Computation
3 Formal Aspects of Computing
3 Higher-Order and Symbolic Computation
2 Acta Informatica
2 Fuzzy Sets and Systems
2 Publications Mathématiques
2 Acta Mathematicae Applicatae Sinica. English Series
2 The Journal of Logic and Algebraic Programming
2 Theory and Practice of Logic Programming
2 ACM Transactions on Computational Logic
2 Journal of Applied Logic
2 Categories and General Algebraic Structures with Applications
1 Archive for Rational Mechanics and Analysis
1 Astrophysics and Space Science
1 Journal d’Analyse Mathématique
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Semigroup Forum
1 Studia Logica
1 Bulletin of the Section of Logic
1 Distributed Computing
1 Archive for Mathematical Logic
1 Indagationes Mathematicae. New Series
1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică
1 Formal Methods in System Design
1 Journal of Applied Non-Classical Logics
1 The Bulletin of Symbolic Logic
1 Theory of Computing Systems
1 Soft Computing
1 Journal of the ACM
1 Journal of Group Theory
1 RAIRO. Theoretical Informatics and Applications
1 Fundamenta Informaticae
1 Computer Languages, Systems & Structures
1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie
1 Discrete Mathematics, Algorithms and Applications
1 Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika
all top 5

Cited in 50 Fields

256 Computer science (68-XX)
113 Mathematical logic and foundations (03-XX)
79 Harmonic analysis on Euclidean spaces (42-XX)
47 Approximations and expansions (41-XX)
29 Functional analysis (46-XX)
25 Category theory; homological algebra (18-XX)
21 Functions of a complex variable (30-XX)
11 Real functions (26-XX)
9 General algebraic systems (08-XX)
9 Sequences, series, summability (40-XX)
8 Group theory and generalizations (20-XX)
7 Partial differential equations (35-XX)
7 Probability theory and stochastic processes (60-XX)
6 Algebraic geometry (14-XX)
6 Measure and integration (28-XX)
6 Operator theory (47-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Mechanics of deformable solids (74-XX)
4 Quantum theory (81-XX)
3 History and biography (01-XX)
3 Number theory (11-XX)
3 Potential theory (31-XX)
3 Several complex variables and analytic spaces (32-XX)
3 General topology (54-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Numerical analysis (65-XX)
2 Associative rings and algebras (16-XX)
2 Nonassociative rings and algebras (17-XX)
2 Topological groups, Lie groups (22-XX)
2 Ordinary differential equations (34-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral equations (45-XX)
2 Differential geometry (53-XX)
2 Relativity and gravitational theory (83-XX)
2 Operations research, mathematical programming (90-XX)
1 General and overarching topics; collections (00-XX)
1 Combinatorics (05-XX)
1 Commutative algebra (13-XX)
1 Special functions (33-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Fluid mechanics (76-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year