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Found 32 Software Packages (Results 1–32)

Coq

Cited in 2,060 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 1,458 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 764 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); Order, lattices, ordered algebraic structures (06-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 596 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); …

HOL Light

Cited in 333 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 307 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); …

OCaml

Cited in 282 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); …

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); …

Theorema

Cited in 154 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 136 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: General and overarching topics; collections (00-XX); Mathematical logic and foundations (03-XX); Combinatorics (05-XX); …

LISP

Cited in 120 Documents (1960–2024)
Software Authors: McCarthy, John
Related Software: ACL2; NQTHM; Haskell; …
Main Fields: Mathematical logic and foundations (03-XX); Numerical analysis (65-XX); Computer science (68-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); …

Coq/SSReflect

Cited in 76 Documents (2008–2023)
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 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); …

HAP

Cited in 44 Documents (2008–2023)
Software Authors: Ellis, Graham
Related Software: GAP; Kenzo; CARAT; …
Main Fields: Algebraic geometry (14-XX); Group theory and generalizations (20-XX); Algebraic topology (55-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); …

APS

Cited in 27 Documents (1993–2023)
Software Authors: Letichevsky, A. A.; Kapitonova, J. V.; Konozenko, S. V.
Related Software: APS-1; hiCUDA; BSGP; …
Main Fields: Linear and multilinear algebra; matrix theory (15-XX); Group theory and generalizations (20-XX); Ordinary differential equations (34-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); …

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); …

Caml

Cited in 9 Documents (1993–2021)
Software Authors: INRIA
Related Software: OCaml; ACL2; Python; …
Main Fields: Mathematical logic and foundations (03-XX); Combinatorics (05-XX); Category theory; homological algebra (18-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); …

VoDKA

Cited in 2 Documents (2005–2009)
Software Authors: Gulias, Victor M.; Barreiro, Miguel; Freire, Jose L.
Related Software: OCaml; Caml; PoSSo; …
Main Fields: 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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