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Reasoning in simple type theory. Festschrift in honor of Peter B. Andrews on his 70th birthday. (English) Zbl 1196.03002
Studies in Logic (London) 17. Mathematical Logic and Foundations. London: College Publications (ISBN 978-1-904987-70-3/pbk). 467 p. (2008).

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The articles of this volume will be reviewed individually.
Indexed articles:
Andrews, Peter B., Some historical reflections, 3-34 [Zbl 1226.03002]
Church, Alonzo, A formulation of the simple theory of types, 35-47 [Zbl 1226.03015]
Henkin, Leon, Completeness in the theory of types, 49-59 [Zbl 1226.03018]
Andrews, Peter B., Resolution in type theory, 63-81 [Zbl 1226.03011]
Andrews, Peter B., General models, descriptions, and choice in type theory, 83-92 [Zbl 1227.03013]
Andrews, Peter B., General models and extensionality, 93-95 [Zbl 1226.03012]
Benzmüller, Christoph; Brown, Chad E.; Kohlhase, Michael, Cut elimination with \(\xi\)-functionality, 97-113 [Zbl 1226.03060]
Hermant, Olivier; Lipton, James, Cut elimination in the intuitionistic theory of types with axioms and rewriting cuts, constructively, 115-148 [Zbl 1226.03061]
Brown, Chad E., \(M\)-set models, 149-172 [Zbl 1226.03014]
Andrews, Peter B., Resolution and the consistency of analysis, 175-186 [Zbl 1226.03013]
Andrews, Peter B., On connections and higher-order logic, 187-221 [Zbl 1226.03025]
Farmer, William M., Andrews’ type theory with undefinedness, 223-242 [Zbl 1226.03017]
Kaminski, Mark; Smolka, Gert, A finite axiomatization of propositional type theory in pure lambda calculus, 243-258 [Zbl 1226.03019]
Dowek, Gilles, Skolemization in simple type theory: the logical and the theoretical points of view, 259-270 [Zbl 1226.03016]
Gabbay, Murdoch J.; Mathijssen, Aad, The lambda-calculus is nominal algebraic, 271-302 [Zbl 1226.03028]
Pfenning, Frank, Church and Curry: combining intrinsic and extrinsic typing, 303-338 [Zbl 1226.03020]
Kirchner, Claude; Kirchner, Florent; Kirchner, Hélène, Strategic computation and deduction, 339-364 [Zbl 1226.03027]
Andrews, Peter B.; Bishop, Matthew; Issar, Sunil; Nesmith, Dan; Pfenning, Frank; Xi, Hongwei, TPS: A theorem proving system for classical type theory, 367-399 [Zbl 1226.03026]
Benzmüller, Christoph; Paulson, Lawrence C., Exploring properties of normal multimodal logics in simple type theory with Leo-II, 401-421 [Zbl 1227.03017]
Miller, Dale, A proof-theoretic approach to the static analysis of logic programs, 423-442 [Zbl 1226.03041]
Xi, Hongwei, ATS/LF: A type system for constructing proofs as total functional programs, 443-467 [Zbl 1226.68026]
MSC:
03-06 Proceedings, conferences, collections, etc. pertaining to mathematical logic and foundations
00B30 Festschriften
01A60 History of mathematics in the 20th century
01A70 Biographies, obituaries, personalia, bibliographies
03-03 History of mathematical logic and foundations
03B15 Higher-order logic; type theory (MSC2010)
03B35 Mechanization of proofs and logical operations
03B40 Combinatory logic and lambda calculus
03F05 Cut-elimination and normal-form theorems
68T15 Theorem proving (deduction, resolution, etc.) (MSC2010)
Biographic References:
Andrews, Peter B.
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