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A mizar mode for HOL

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-09724-4openalex-snapshot
Edinburgh LCF
inferredcites →https://doi.org/10.1007/3-540-15648-8_30openalex-snapshot
Computer aided reasoning
inferredcites →https://doi.org/10.1007/3-540-52885-7_114openalex-snapshot
Minimizing the number of clauses by renaming
inferredcites →https://doi.org/10.1007/3-540-52885-7_97openalex-snapshot
An examination of the prolog technology theorem-prover
inferredcites →https://doi.org/10.1007/3-540-57826-9_157openalex-snapshot
On the style of mechanical proving
inferredcites →https://doi.org/10.1007/3-540-58156-1openalex-snapshot
Automated Deduction — CADE-12
inferredcites →https://doi.org/10.1007/3-540-60275-5_56openalex-snapshot
Automatically synthesized term denotation predicates: A proof aid
inferredcites →https://doi.org/10.1007/3-540-61377-3_38openalex-snapshot
Simultaneous rigid E-unification is undecidable
inferredcites →https://doi.org/10.1007/3-540-61511-3_97openalex-snapshot
Optimizing proof search in model elimination
inferredcites →https://doi.org/10.1007/978-1-4612-3658-0_9openalex-snapshot
Automating Recursive Type Definitions in Higher Order Logic
inferredcites →https://doi.org/10.1007/bf00247436openalex-snapshot
Obvious inferences
inferredcites →https://doi.org/10.1007/bf00252180openalex-snapshot
TPS: A theorem-proving system for classical type theory
inferredcites →https://doi.org/10.1007/bf00297245openalex-snapshot
A prolog technology theorem prover: Implementation by an extended prolog compiler
inferredcites →https://doi.org/10.1007/bf00881804openalex-snapshot
leanTAP: Lean tableau-based deduction
inferredcites →https://doi.org/10.1007/bf02328452openalex-snapshot
Set theory in first-order logic: Clauses for Gödel's axioms
inferredcites →https://doi.org/10.1007/bfb0020908openalex-snapshot
On the Shape of Mathematical Arguments
inferredcites →https://doi.org/10.1007/bfb0030541openalex-snapshot
Isabelle
inferredcites →https://doi.org/10.1016/0020-0190(87)90166-9openalex-snapshot
A deficiency of natural deduction
inferredcites →https://doi.org/10.1016/0167-6423(83)90008-4openalex-snapshot
A higher-order implementation of rewriting
inferredcites →https://doi.org/10.1016/0304-3975(75)90011-0openalex-snapshot
A unification algorithm for typed λ-calculus
inferredcites →https://doi.org/10.1017/s0960129598002680openalex-snapshot
Collections, sets and types
inferredcites →https://doi.org/10.1093/comjnl/38.2.91openalex-snapshot
Tracking design changes with formal machine-checked proof
inferredcites →https://doi.org/10.1093/logcom/3.1.47openalex-snapshot
Formalizing a Hierarchical Structure of Practical Mathematical Reasoning
inferredcites →https://doi.org/10.1109/hol.1991.596284openalex-snapshot
Integrating A First-order Automatic prover In The HOL Environment
inferredcites →https://doi.org/10.1109/hol.1991.596285openalex-snapshot
Window Inference In The HOL System
inferredcites →https://doi.org/10.1109/hol.1991.596299openalex-snapshot
A Package For Inductive Relation Definitions In HOL
inferredcites →https://doi.org/10.11575/prism/31335openalex-snapshot
OBJECT LANGUAGE EMBEDDING IN STANDARD ML OF NEW JERSEY
inferredcites →https://doi.org/10.48456/tr-337openalex-snapshot
Efficiency in a fully-expansive theorem prover
inferredcites →https://doi.org/10.6100/ir337809openalex-snapshot
On the shape of mathematical arguments

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/10721959_1openalex-snapshot
High-Level Verification Using Theorem Proving and Formalized Mathematics
inferred← citeshttps://doi.org/10.1007/3-540-44755-5_26openalex-snapshot
Mizar Light for HOL Light
inferred← citeshttps://doi.org/10.1007/3-540-44755-5_7openalex-snapshot
Calculational Reasoning Revisited An Isabelle/Isar Experience
inferred← citeshttps://doi.org/10.1007/3-540-45685-6_12openalex-snapshot
Free-Style Theorem Proving
inferred← citeshttps://doi.org/10.1007/3-540-48256-3_12openalex-snapshot
Isar — A Generic Interpretative Approach to Readable Formal Proof Documents
inferred← citeshttps://doi.org/10.1007/3-540-48256-3_13openalex-snapshot
On the Implementation of an Extensible Declarative Proof Language
inferred← citeshttps://doi.org/10.1007/3-540-48256-3_14openalex-snapshot
Three Tactic Theorem Proving
inferred← citeshttps://doi.org/10.1007/978-3-030-02768-1_9openalex-snapshot
Traf: A Graphical Proof Tree Viewer Cooperating with Coq Through Proof General
inferred← citeshttps://doi.org/10.1007/978-3-030-79876-5_36openalex-snapshot
The Isabelle/Naproche Natural Language Proof Assistant
inferred← citeshttps://doi.org/10.1007/978-3-032-38214-6_5openalex-snapshot
Distilling Autoformalized Proofs
inferred← citeshttps://doi.org/10.1007/978-3-319-20615-8_17openalex-snapshot
Mizar: State-of-the-art and Beyond
inferred← citeshttps://doi.org/10.1007/978-3-540-68103-8_5openalex-snapshot
A Declarative Language for the Coq Proof Assistant
inferred← citeshttps://doi.org/10.1007/978-3-540-74464-1_2openalex-snapshot
Crafting a Proof Assistant
inferred← citeshttps://doi.org/10.1007/978-3-540-74591-4_13openalex-snapshot
Improving the Usability of HOL Through Controlled Automation Tactics
inferred← citeshttps://doi.org/10.1007/978-3-540-75560-9_39openalex-snapshot
ATP Cross-Verification of the Mizar MPTP Challenge Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-03359-9_5openalex-snapshot
A Brief Overview of Mizar
inferred← citeshttps://doi.org/10.1007/978-3-642-45221-5_23openalex-snapshot
A Graphical Language for Proof Strategies
inferred← citeshttps://doi.org/10.1007/bfb0028384openalex-snapshot
Human-style theorem proving using PVS
inferred← citeshttps://doi.org/10.1007/bfb0097791openalex-snapshot
Proof style
inferred← citeshttps://doi.org/10.1007/s001650050054openalex-snapshot
Proving as Editing HOL Tactics
inferred← citeshttps://doi.org/10.1007/s10817-009-9136-7openalex-snapshot
Declarative Representation of Proof Terms
inferred← citeshttps://doi.org/10.1007/s10817-014-9303-3openalex-snapshot
Learning-Assisted Automated Reasoning with Flyspeck
inferred← citeshttps://doi.org/10.1007/s10817-015-9337-1openalex-snapshot
Improving Legibility of Formal Proofs Based on the Close Reference Principle is NP-Hard
inferred← citeshttps://doi.org/10.1007/s10817-015-9345-1openalex-snapshot
Four Decades of Mizar
inferred← citeshttps://doi.org/10.1007/s10817-018-9479-zopenalex-snapshot
Semantics of Mizar as an Isabelle Object Logic
inferred← citeshttps://doi.org/10.1007/s11786-008-0053-7openalex-snapshot
ATP-based Cross-Verification of Mizar Proofs: Method, Systems, and First Experiments
inferred← citeshttps://doi.org/10.1007/s12046-009-0001-5openalex-snapshot
Proof assistants: History, ideas and future
inferred← citeshttps://doi.org/10.1016/b978-0-444-51624-4.50004-6openalex-snapshot
History of Interactive Theorem Proving
inferred← citeshttps://doi.org/10.1016/j.cl.2015.07.002openalex-snapshot
Flexary connectives in Mizar
inferred← citeshttps://doi.org/10.1016/j.entcs.2003.12.014openalex-snapshot
Towards a Readable Formalisation of Category Theory
inferred← citeshttps://doi.org/10.1016/j.jal.2005.10.007openalex-snapshot
A proof-centric approach to mathematical assistants
inferred← citeshttps://doi.org/10.1023/a:1006086330571openalex-snapshot
Triple Dots in a Formal Language
inferred← citeshttps://doi.org/10.1023/a:1006218513245openalex-snapshot
On Equivalents of Well-Foundedness
inferred← citeshttps://doi.org/10.1023/a:1008712907154openalex-snapshot
Floating Point Verification in HOL Light: The Exponential Function
inferred← citeshttps://doi.org/10.1023/a:1021935419355openalex-snapshot
A Comparison of Mizar and Isar
inferred← citeshttps://doi.org/10.1109/lics.2003.1210044openalex-snapshot
Formal verification at Intel
inferred← citeshttps://doi.org/10.1109/tcad.2005.850814openalex-snapshot
An industrially effective environment for formal hardware verification
inferred← citeshttps://doi.org/10.1145/2854065.2854070openalex-snapshot
Towards a Mizar environment for Isabelle: foundations and language
inferred← citeshttps://doi.org/10.1145/3426425.3426940openalex-snapshot
Untangling mechanized proofs
inferred← citeshttps://doi.org/10.14264/7583d15openalex-snapshot
A generic proof checker
inferred← citeshttps://doi.org/10.15439/2017f289openalex-snapshot
Progress in the Independent Certification of Mizar Mathematical Library in Isabelle
inferred← citeshttps://doi.org/10.1561/2500000045openalex-snapshot
QED at Large: A Survey of Engineering of Formally Verified Software
inferred← citeshttps://doi.org/10.2168/lmcs-8(1:30)2012openalex-snapshot
A Synthesis of the Procedural and Declarative Styles of Interactive Theorem Proving
inferred← citeshttps://doi.org/10.22028/d291-26394openalex-snapshot
Assertion level proof planning with compiled strategies
inferred← citeshttps://doi.org/10.48550/arxiv.1303.2975openalex-snapshot
Towards Automated Proof Strategy Generalisation
inferred← citeshttps://doi.org/10.48550/arxiv.1610.05593openalex-snapshot
Understanding and maintaining tactics graphically OR how we are learning that a diagram can be worth more than 10K LoC
inferred← citeshttps://doi.org/10.48550/arxiv.1912.03028openalex-snapshot
A Survey on Theorem Provers in Formal Methods
inferred← citeshttps://doi.org/10.6092/issn.1972-5787/1980openalex-snapshot
Mizar in a Nutshell
inferred← citeshttps://doi.org/10.6092/unibo/amsdottorato/3754openalex-snapshot
Theoretical and implementation aspects in the mechanization of the metatheory of programming languages
inferred← citeshttps://doi.org/10.6092/unibo/amsdottorato/616openalex-snapshot
User interaction widgets for interactive theorem proving
inferred← citeshttps://doi.org/10.6092/unibo/amsdottorato/917openalex-snapshot
Interactive theorem provers: issues faced as a user and tackled as a developer
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