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Found 47 Software Packages (Results 1–47)

Coq

Cited in 2,048 Documents (1993–2024)
Software Authors: Dehlinger, Christophe; Dufourd, Jean-François
Related Software: Isabelle/HOL; Isabelle; HOL; …
Main Fields: General and overarching topics; collections (00-XX); Mathematical logic and foundations (03-XX); Category theory; homological algebra (18-XX); …

Isabelle/HOL

Cited in 1,441 Documents (1995–2024)
Software Authors: Naraschewski, Wolfgang; Nipkow, Tobias
Related Software: Coq; Isabelle; HOL; …
Main Fields: Mathematical logic and foundations (03-XX); Combinatorics (05-XX); Computer science (68-XX); …

Isabelle

Cited in 757 Documents (1990–2024)
Software Authors: Paulson, Larry; Nipkow, Tobias; Wenzel, Makarius
Related Software: Isabelle/HOL; HOL; Coq; …
Main Fields: Mathematical logic and foundations (03-XX); Combinatorics (05-XX); Number theory (11-XX); …

Maude

Cited in 666 Documents (1984–2024)
Software Authors: Clavel, M.; Durán, F.; Eker, S.; Lincoln, P.; Martí-Oliet, N.; Maude Team
Related Software: CafeOBJ; OBJ3; ELAN; …
Main Fields: Mathematical logic and foundations (03-XX); Computer science (68-XX); Biology and other natural sciences (92-XX); …

Uppaal

Cited in 587 Documents (1990–2024)
Software Authors: Uppsala University, Sweden; Aalborg University in Denmark
Related Software: Kronos; HyTech; SPIN; …
Main Fields: Mathematical logic and foundations (03-XX); Computer science (68-XX); Operations research, mathematical programming (90-XX); …

PVS

Cited in 632 Documents (1993–2024)
Software Authors: Owre, Sam; Shankar, Natarajan; Rushby, John
Related Software: Coq; Isabelle/HOL; HOL; …
Main Fields: Mathematical logic and foundations (03-XX); Numerical analysis (65-XX); Computer science (68-XX); …

HOL

Cited in 623 Documents (1985–2024)
Software Authors: Gordon, Michael J. C.
Related Software: Isabelle/HOL; Isabelle; ML; …
Main Fields: Mathematical logic and foundations (03-XX); Combinatorics (05-XX); Number theory (11-XX); …

Mizar

Cited in 592 Documents (1983–2024)
Software Authors: Bancerek, Grzegorz; Bylinski, Czeslaw; Grabowski, Adam; Kornilowicz, Artur; Milewski, Robert; Naumowicz, Adam; Trybulec, Andrzej; Urban, Josef
Related Software: Coq; Isabelle/HOL; HOL Light; …
Main Fields: General and overarching topics; collections (00-XX); Mathematical logic and foundations (03-XX); Number theory (11-XX); …

Nuprl

Cited in 426 Documents (1986–2024)
Software Authors: Constable, R. L.; Allen, S. F.; Bromley, H. M.; Cleaveland, W. R.; Cremer, J. F.; Harper, R. W.; Howe, D. J.; Knoblock, T. B.; Mendler, N. P.; Panangaden, P.; Sasaki, J. T.; Smith, S. F.
Related Software: Coq; HOL; Automath; …
Main Fields: General and overarching topics; collections (00-XX); Mathematical logic and foundations (03-XX); Number theory (11-XX); …

HyTech

Cited in 326 Documents (1996–2024)
Software Authors: Henzinger, Tom; Ho, Pei-Hsin; Wong-Toi., Howard
Related Software: Uppaal; PHAVer; Kronos; …
Main Fields: Mathematical logic and foundations (03-XX); Computer science (68-XX); Operations research, mathematical programming (90-XX); …

HOL Light

Cited in 330 Documents (1998–2024)
Software Authors: Harrison, John
Related Software: Coq; Isabelle/HOL; HOL; …
Main Fields: General and overarching topics; collections (00-XX); Mathematical logic and foundations (03-XX); Number theory (11-XX); …

ACL2

Cited in 306 Documents (1998–2024)
Software Authors: Kaufmann, Matt; Moore, Strother
Related Software: Isabelle/HOL; Coq; PVS; …
Main Fields: General and overarching topics; collections (00-XX); Mathematical logic and foundations (03-XX); Algebraic topology (55-XX); …

Z

Cited in 246 Documents (1958–2024)
Software Authors: Woodcock, Jim; Davies, Jim
Related Software: Circus; Isabelle/HOL; Rodin; …
Main Fields: General and overarching topics; collections (00-XX); Mathematical logic and foundations (03-XX); Number theory (11-XX); …

QEPCAD

Cited in 304 Documents (1991–2024)
Software Authors: Hong, Hoon; Brown, Christopher W.
Related Software: REDLOG; Maple; DISCOVERER; …
Main Fields: Mathematical logic and foundations (03-XX); Algebraic geometry (14-XX); Numerical analysis (65-XX); …

Archive Formal Proofs

Cited in 294 Documents (1963–2024)
Software Authors: Blanchette, Jasmin Christian; Haslbeck, Maximilian; Matichuk, Daniel; Nipkow, Tobias
Related Software: Isabelle/HOL; Isabelle; Coq; …
Main Fields: Mathematical logic and foundations (03-XX); Combinatorics (05-XX); Number theory (11-XX); …

OCaml

Cited in 280 Documents (1998–2024)
Software Authors: INRIA; X. Leroy, D. Rémy, J. Vouillon, D. Doligez
Related Software: Coq; Haskell; Isabelle/HOL; …
Main Fields: General and overarching topics; collections (00-XX); Mathematical logic and foundations (03-XX); Numerical analysis (65-XX); …

Kronos

Cited in 254 Documents (1996–2024)
Software Authors: Daws, Conrado; Olivero, Alfredo; Tripakis, Stavros; Yovine, Sergio
Related Software: Uppaal; HyTech; SPIN; …
Main Fields: Mathematical logic and foundations (03-XX); Computer science (68-XX); Operations research, mathematical programming (90-XX); …

Agda

Cited in 257 Documents (1999–2024)
Software Authors: Norell, Ulf
Related Software: Coq; Isabelle/HOL; Haskell; …
Main Fields: General and overarching topics; collections (00-XX); Mathematical logic and foundations (03-XX); Category theory; homological algebra (18-XX); …

UNITY

Cited in 188 Documents (1988–2023)
Software Authors: Chandy, K. Mani; Misra, Jayadev
Related Software: NQTHM; HOL; PVS; …
Main Fields: Mathematical logic and foundations (03-XX); Computer science (68-XX); Operations research, mathematical programming (90-XX); …

AXIOM

Cited in 173 Documents (1992–2022)
Software Authors: Daly, Tim; et al.
Related Software: Maple; Mathematica; REDUCE; …
Main Fields: Number theory (11-XX); Field theory and polynomials (12-XX); Commutative algebra (13-XX); …

NQTHM

Cited in 150 Documents (1979–2022)
Software Authors: Boyer, Robert S.; Moore, J. Strother
Related Software: HOL; ACL2; Coq; …
Main Fields: History and biography (01-XX); Mathematical logic and foundations (03-XX); Group theory and generalizations (20-XX); …

Isar

Cited in 160 Documents (2000–2024)
Software Authors: Wenzel, Makarius
Related Software: Isabelle/HOL; Isabelle; Coq; …
Main Fields: General and overarching topics; collections (00-XX); Mathematical logic and foundations (03-XX); Combinatorics (05-XX); …

Theorema

Cited in 155 Documents (1997–2022)
Software Authors: Buchberger, Bruno; Jebelean, Tudor; Kutsia, Temur; Windsteiger, Wolfgang; Theorema group at RISC institute at JKU Linz; Austria
Related Software: Mathematica; Coq; Mizar; …
Main Fields: General and overarching topics; collections (00-XX); Mathematical logic and foundations (03-XX); Commutative algebra (13-XX); …

Lean

Cited in 109 Documents (2015–2024)
Software Authors: Microsoft; de Moura, Leonardo; Kong, Soonho; Avigad, Jeremy; van Doorn, Floris; von Raumer, Jakob
Related Software: Coq; Isabelle/HOL; Agda; …
Main Fields: Mathematical logic and foundations (03-XX); Number theory (11-XX); Category theory; homological algebra (18-XX); …

Isabelle/Isar

Cited in 106 Documents (2002–2024)
Software Authors: Wenzel, Markus; et al.
Related Software: Isabelle/HOL; Isabelle; Isar; …
Main Fields: General and overarching topics; collections (00-XX); Mathematical logic and foundations (03-XX); Combinatorics (05-XX); …

OMDoc

Cited in 94 Documents (2001–2023)
Software Authors: Kohlhase, Michael
Related Software: MMT; Coq; Mizar; …
Main Fields: General and overarching topics; collections (00-XX); Mathematical logic and foundations (03-XX); Linear and multilinear algebra; matrix theory (15-XX); …

Kenzo

Cited in 74 Documents (2000–2024)
Software Authors: Rubio, Julio; Sergeraert, Francis; Yvon Siret; Xavier Dousson
Related Software: EAT; Coq; ACL2; …
Main Fields: Mathematical logic and foundations (03-XX); Category theory; homological algebra (18-XX); Group theory and generalizations (20-XX); …

MetiTarski

Cited in 59 Documents (2008–2024)
Software Authors: Akbarpour, Behzad; Paulson, Lawrence C.
Related Software: QEPCAD; z3; PVS; …
Main Fields: Mathematical logic and foundations (03-XX); Algebraic geometry (14-XX); Numerical analysis (65-XX); …

Locales

Cited in 54 Documents (1999–2024)
Software Authors: Ballarin, Clemens
Related Software: Isabelle/HOL; Isabelle; Archive Formal Proofs; …
Main Fields: Mathematical logic and foundations (03-XX); Combinatorics (05-XX); Algebraic geometry (14-XX); …

Z/EVES

Cited in 39 Documents (1996–2023)
Software Authors: Project, Community Z Tools
Related Software: Z; Circus; ProofPower; …
Main Fields: General and overarching topics; collections (00-XX); Mathematical logic and foundations (03-XX); Algebraic geometry (14-XX); …

Lifting

Cited in 44 Documents (2013–2024)
Software Authors: Huffman, Brian; Kunčar, Ondřej
Related Software: Transfer; Isabelle/HOL; Archive Formal Proofs; …
Main Fields: Mathematical logic and foundations (03-XX); Linear and multilinear algebra; matrix theory (15-XX); Ordinary differential equations (34-XX); …

Zing

Cited in 32 Documents (1993–2018)
Software Authors: Andrews, Tony; Qadeer, Shaz; Rajamani, Sriram K.; Rehof, Jakob; Xie, Yichen
Related Software: SPIN; SLAM; veriSoft; …
Main Fields: Algebraic geometry (14-XX); Functions of a complex variable (30-XX); Statistics (62-XX); …

mathlib

Cited in 32 Documents (2020–2024)
Software Authors: van Doorn, Floris; Ebner, Gabriel; Lewis, Robert Y.; The mathlib Community
Related Software: Lean; Coq; Isabelle/HOL; …
Main Fields: Mathematical logic and foundations (03-XX); Order, lattices, ordered algebraic structures (06-XX); Number theory (11-XX); …

Minlog

Cited in 27 Documents (2001–2023)
Software Authors: Berger, Ulrich; Miyamoto, Kenji; Schwichtenberg, Helmut; Seisenberger, Monika
Related Software: Coq; Haskell; Nuprl; …
Main Fields: General and overarching topics; collections (00-XX); Mathematical logic and foundations (03-XX); Field theory and polynomials (12-XX); …

Metamath

Cited in 26 Documents (2003–2023)
Software Authors: Megill, Norman D.
Related Software: Mizar; Isabelle/HOL; Coq; …
Main Fields: Mathematical logic and foundations (03-XX); Number theory (11-XX); Commutative algebra (13-XX); …

Coquelicot

Cited in 25 Documents (2015–2024)
Software Authors: Boldo, Sylvie; Lelay, Catherine; Melquiond, Guillaume
Related Software: Coq; Isabelle/HOL; Lean; …
Main Fields: Mathematical logic and foundations (03-XX); Real functions (26-XX); Ordinary differential equations (34-XX); …

SACLIB

Cited in 23 Documents (1993–2009)
Software Authors: Richardson, David G.; Krandick, Werner
Related Software: QEPCAD; Maple; FOXBOX; …
Main Fields: Mathematical logic and foundations (03-XX); Algebraic geometry (14-XX); Numerical analysis (65-XX); …

LOUI

Cited in 10 Documents (2002–2023)
Software Authors: Siekmann, J.; Hess, S.; Benzmüller, C.; Cheikhrouhou, L.; Fiedler, A.; Horacek, H.; Kohlhase, M.; Konrad, K.; Meier, A.; Melis, E.; Pollet, M.; Sorge, V.
Related Software: TPTP; Coq; PVS; …
Main Fields: Mathematical logic and foundations (03-XX); Commutative algebra (13-XX); Computer science (68-XX)

NASA PVS

Cited in 10 Documents (2008–2023)
Software Authors: Langley, NASA
Related Software: PVS; Isabelle/HOL; Graph Theory; …
Main Fields: Combinatorics (05-XX); General algebraic systems (08-XX); Commutative algebra (13-XX); …

Berlekamp Zassenhaus

Cited in 10 Documents (2017–2022)
Software Authors: Divasón, Jose; Joosten, Sebastiaan; Thiemann, René; Yamada, Akihisa
Related Software: Isabelle/HOL; Isabelle; Coq; …
Main Fields: Number theory (11-XX); Field theory and polynomials (12-XX); Commutative algebra (13-XX); …

Echelon Form

Cited in 6 Documents (2016–2022)
Software Authors: Divasón, Jose; Aransay, Jesús
Related Software: Isabelle/HOL; Archive Formal Proofs; Lifting; …
Main Fields: Commutative algebra (13-XX); Linear and multilinear algebra; matrix theory (15-XX); Calculus of variations and optimal control; optimization (49-XX); …

Cayley-Hamilton

Cited in 3 Documents (2016–2022)
Software Authors: Adelsberger, Stephan; Hetzl, Stefan; Pollak, Florian
Related Software: Isabelle; Transfer; Lifting; …
Main Fields: Mathematical logic and foundations (03-XX); Commutative algebra (13-XX); Linear and multilinear algebra; matrix theory (15-XX); …

Algebraic Numbers

Cited in 2 Documents (2019–2022)
Software Authors: Thiemann, René; Yamada, Akihisa; Joosten, Sebastiaan
Related Software: Isabelle; Archive Formal Proofs; Isabelle/HOL; …
Main Fields: Number theory (11-XX); Field theory and polynomials (12-XX); Commutative algebra (13-XX); …

Hermite

Cited in 1 Document (2022)
Software Authors: Divasón, Jose; Aransay, Jesús
Related Software: Isabelle; Kenzo; Transfer; …
Main Fields: Commutative algebra (13-XX); Linear and multilinear algebra; matrix theory (15-XX); Computer science (68-XX)

Modular_arithmetic_LLL_and_HNF_algorithms

Cited in 1 Document (2022)
Software Authors: Bottesch, Ralph; Divasón, Jose; Thiemann, René
Related Software: Isabelle; Kenzo; Transfer; …
Main Fields: Commutative algebra (13-XX); Linear and multilinear algebra; matrix theory (15-XX); Computer science (68-XX)

Smith_Normal_Form

Cited in 1 Document (2022)
Software Authors: Divasón, Jose
Related Software: Isabelle; Kenzo; Transfer; …
Main Fields: Commutative algebra (13-XX); Linear and multilinear algebra; matrix theory (15-XX); Computer science (68-XX)

Smooth_Manifolds

Cited in 1 Document (2022)
Software Authors: Immler, Fabian; Zhan, Bohua
Related Software: Isabelle; Kenzo; Transfer; …
Main Fields: Commutative algebra (13-XX); Linear and multilinear algebra; matrix theory (15-XX); Computer science (68-XX)

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