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Found 51 Software Packages (Results 1–51)

Coq

Cited in 2,035 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 1,427 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 756 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); …

PVS

Cited in 630 Documents (1993–2023)
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); …

TPTP

Cited in 430 Documents (1994–2024)
Software Authors: Sutcliffe, Geoff; Suttner, Christian
Related Software: VAMPIRE; E Theorem Prover; Isabelle/HOL; …
Main Fields: General and overarching topics; collections (00-XX); Mathematical logic and foundations (03-XX); Geometry (51-XX); …

Nuprl

Cited in 425 Documents (1986–2023)
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); Category theory; homological algebra (18-XX); …

OTTER

Cited in 333 Documents (1988–2023)
Software Authors: Bill McCune; Amor Montano, Jose Alfredo; Miranda Perea, Favio Ezequiel
Related Software: TPTP; VAMPIRE; SPASS; …
Main Fields: Mathematical logic and foundations (03-XX); Order, lattices, ordered algebraic structures (06-XX); Group theory and generalizations (20-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 305 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); …

Archive Formal Proofs

Cited in 293 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); …

LaTeX

Cited in 257 Documents (1988–2024)
Software Authors: Lamport, Leslie
Related Software: TeX; EXPFIT4; Maple; …
Main Fields: General and overarching topics; collections (00-XX); Numerical analysis (65-XX); Computer science (68-XX); …

Agda

Cited in 255 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); …

Mace4

Cited in 252 Documents (1995–2024)
Software Authors: McCune, William
Related Software: Prover9; OTTER; TPTP; …
Main Fields: Mathematical logic and foundations (03-XX); Order, lattices, ordered algebraic structures (06-XX); General algebraic systems (08-XX); …

kepler98

Cited in 248 Documents (2000–2024)
Software Authors: Hales, Thomas C.; Ferguson, Samuel P.
Related Software: Isabelle/HOL; Flyspeck; Coq; …
Main Fields: Mathematical logic and foundations (03-XX); Number theory (11-XX); Convex and discrete geometry (52-XX); …

E Theorem Prover

Cited in 233 Documents (2001–2023)
Software Authors: Schulz, Stephan
Related Software: VAMPIRE; TPTP; SPASS; …
Main Fields: Mathematical logic and foundations (03-XX); Combinatorics (05-XX); Group theory and generalizations (20-XX); …

Prover9

Cited in 232 Documents (2006–2024)
Software Authors: McCune, William
Related Software: Mace4; OTTER; VAMPIRE; …
Main Fields: Mathematical logic and foundations (03-XX); Order, lattices, ordered algebraic structures (06-XX); General algebraic systems (08-XX); …

SPASS

Cited in 208 Documents (1996–2023)
Software Authors: Weidenbach, C; Brahm, U; Hillenbrand, T
Related Software: VAMPIRE; TPTP; E Theorem Prover; …
Main Fields: Mathematical logic and foundations (03-XX); Group theory and generalizations (20-XX); Computer science (68-XX); …

Isar

Cited in 158 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); …

Flyspeck

Cited in 135 Documents (2004–2024)
Software Authors: Hales, Thomas C.; Tankink, Carst; Kaliszyk, Cezary; Urban, Josef; Geuvers, Herman
Related Software: Isabelle/HOL; HOL Light; Coq; …
Main Fields: Mathematical logic and foundations (03-XX); Combinatorics (05-XX); Convex and discrete geometry (52-XX); …

Lean

Cited in 107 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); …

Coq/SSReflect

Cited in 74 Documents (2008–2021)
Software Authors: Center, Microsoft Research-Inria Joint
Related Software: Coq; Isabelle/HOL; Mizar; …
Main Fields: Mathematical logic and foundations (03-XX); Combinatorics (05-XX); Group theory and generalizations (20-XX); …

Kenzo

Cited in 73 Documents (2000–2023)
Software Authors: Rubio, Julio; Sergeraert, Francis; Yvon Siret; Xavier Dousson
Related Software: EAT; ACL2; Coq; …
Main Fields: Category theory; homological algebra (18-XX); Group theory and generalizations (20-XX); Algebraic topology (55-XX); …

WolframAlpha

Cited in 64 Documents (2000–2024)
Software Authors: Wolfram Alpha LLC
Related Software: Mathematica; OEIS; Maple; …
Main Fields: General and overarching topics; collections (00-XX); Combinatorics (05-XX); Number theory (11-XX); …

Jordan

Cited in 66 Documents (2007–2022)
Software Authors: Hales, Thomas C.
Related Software: kepler98; HOL Light; Maple; …
Main Fields: Mathematical logic and foundations (03-XX); Field theory and polynomials (12-XX); Commutative algebra (13-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); …

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); …

Transfer

Cited in 44 Documents (2013–2024)
Software Authors: Huffman, Brian; Kunčar, Ondřej
Related Software: Lifting; 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); …

F5C

Cited in 34 Documents (2010–2023)
Software Authors: Eder, C.; Perry, J.
Related Software: SINGULAR; Maple; Magma; …
Main Fields: Combinatorics (05-XX); Number theory (11-XX); Commutative algebra (13-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); …

CoqHammer

Cited in 28 Documents (2017–2023)
Software Authors: Czajka, Łukasz; Kaliszyk, Cezary
Related Software: Coq; Isabelle/HOL; E Theorem Prover; …
Main Fields: General and overarching topics; collections (00-XX); Mathematical logic and foundations (03-XX); Algebraic geometry (14-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); …

DeepMath

Cited in 19 Documents (2017–2023)
Software Authors: Alemi, Alex A.; Chollet, Francois; Een, Niklas; Irving, Geoffrey; Szegedy, Christian; Urban, Josef
Related Software: ENIGMA; E Theorem Prover; Mizar; …
Main Fields: Mathematical logic and foundations (03-XX); Algebraic geometry (14-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); …

Jordan Normal Forms

Cited in 8 Documents (2016–2024)
Software Authors: Thiemann, René; Yamada, Akihisa
Related Software: Isabelle/HOL; Archive Formal Proofs; Isabelle; …
Main Fields: Mathematical logic and foundations (03-XX); Commutative algebra (13-XX); Numerical analysis (65-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); …

Groebner_Bases

Cited in 4 Documents (2017–2019)
Software Authors: Immler, Fabian; Maletzky, Alexander
Related Software: Polynomials; Isabelle/HOL; Deep_Learning; …
Main Fields: Commutative algebra (13-XX); Computer science (68-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); …

Count Complex Roots

Cited in 2 Documents (2020)
Software Authors: Li, Wenda
Related Software: Archive Formal Proofs; HOL; Isabelle/HOL; …
Main Fields: Number theory (11-XX); Commutative algebra (13-XX); Algebraic geometry (14-XX); …

Gaussian_Integers

Cited in 2 Documents (2021–2022)
Software Authors: Eberl, M.
Related Software: mathlib; Minkowskis_Theorem; Lean; …
Main Fields: Number theory (11-XX); Commutative algebra (13-XX); Computer science (68-XX)

Minkowskis_Theorem

Cited in 2 Documents (2021–2022)
Software Authors: Eberl, M.
Related Software: mathlib; Lean; PARI/GP; …
Main Fields: Number theory (11-XX); Commutative algebra (13-XX); Computer science (68-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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