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Case studies in meta-level theorem proving

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What this work says

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

inferredcites →https://doi.org/10.1002/malq.19680140702openalex-snapshot
Reflection Principles and their Use for Establishing the Complexity of Axiomatic Systems
inferredcites →https://doi.org/10.1007/3-540-07854-1_195openalex-snapshot
An algebraic approach to data types, program verification, and program synthesis
inferredcites →https://doi.org/10.1007/3-540-62688-3_44openalex-snapshot
Computational reflection in the calculus of constructions and its application to theorem proving
inferredcites →https://doi.org/10.1007/978-1-4613-8601-8openalex-snapshot
Self-Reference and Modal Logic
inferredcites →https://doi.org/10.1007/bfb0014565openalex-snapshot
Using reflection to build efficient and certified decision procedures
inferredcites →https://doi.org/10.1007/bfb0030541openalex-snapshot
Isabelle
inferredcites →https://doi.org/10.1007/bfb0054171openalex-snapshot
A verified model checker for the modal Μ-calculus in Coq
inferredcites →https://doi.org/10.1017/cbo9780511526602openalex-snapshot
Logic and Computation
inferredcites →https://doi.org/10.1109/32.345827openalex-snapshot
Formal verification for fault-tolerant architectures: prolegomena to the design of PVS
inferredcites →https://doi.org/10.1109/lics.1990.113737openalex-snapshot
The semantics of reflected proof
inferredcites →https://doi.org/10.1109/lics.1991.151645openalex-snapshot
An inverse of the evaluation functional for typed lambda -calculus
inferredcites →https://doi.org/10.1145/136035.136043openalex-snapshot
Symbolic Boolean manipulation with ordered binary-decision diagrams
inferredcites →https://doi.org/10.1145/2422.322411openalex-snapshot
Deciding Combinations of Theories
inferredcites →https://doi.org/10.1145/357073.357079openalex-snapshot
Simplification by Cooperating Decision Procedures
inferredcites →https://doi.org/10.2307/2274450openalex-snapshot
C. Smoryński. Self-reference and modal logic. Universitext. Springer-Verlag, New York, Berlin, etc., 1985, xii + 333 pp.

What points at this work

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

inferred← citeshttps://doi.org/10.1007/10930755_17openalex-snapshot
Inductive Invariants for Nested Recursion
inferred← citeshttps://doi.org/10.1007/11541868_13openalex-snapshot
Real Number Calculations and Theorem Proving
inferred← citeshttps://doi.org/10.1007/3-540-45620-1_29openalex-snapshot
Formal Verification of a Combination Decision Procedure
inferred← citeshttps://doi.org/10.1007/3-540-47813-2_13openalex-snapshot
Verifying BDD Algorithms through Monadic Interpretation
inferred← citeshttps://doi.org/10.1007/3-540-48256-3_5openalex-snapshot
Polytypic Proof Construction
inferred← citeshttps://doi.org/10.1007/3-540-48257-1_24openalex-snapshot
PVS: An Experience Report
inferred← citeshttps://doi.org/10.1007/3-540-48683-6_38openalex-snapshot
Abstract and Model Check while You Prove
inferred← citeshttps://doi.org/10.1007/978-3-319-94821-8_13openalex-snapshot
HOL Light QE
inferred← citeshttps://doi.org/10.1007/978-3-540-71067-7_19openalex-snapshot
Real Number Calculations and Theorem Proving
inferred← citeshttps://doi.org/10.1007/978-3-540-79707-4_10openalex-snapshot
Machine Checked Formal Proof of a Scheduling Protocol for Smartcard Personalization
inferred← citeshttps://doi.org/10.1007/978-3-642-18070-5openalex-snapshot
Formal Verification of Object-Oriented Software
inferred← citeshttps://doi.org/10.1007/978-3-642-19829-8_11openalex-snapshot
Reasoning about Assignments in Recursive Data Structures
inferred← citeshttps://doi.org/10.1007/978-3-642-32759-9_18openalex-snapshot
Correctness of Pointer Manipulating Algorithms Illustrated by a Verified BDD Construction
inferred← citeshttps://doi.org/10.1007/978-3-7091-6355-9_14openalex-snapshot
Towards Light-Weight Verification and Heavy-Weight Testing
inferred← citeshttps://doi.org/10.1007/bfb0055125openalex-snapshot
Theorem Proving in Higher Order Logics
inferred← citeshttps://doi.org/10.1016/j.ic.2018.03.001openalex-snapshot
Incorporating quotation and evaluation into Church's type theory
inferred← citeshttps://doi.org/10.1109/tc.2008.213openalex-snapshot
Verified Real Number Calculations: A Library for Interval Arithmetic
inferred← citeshttps://doi.org/10.48550/arxiv.0708.3721openalex-snapshot
Verified Real Number Calculations: A Library for Interval Arithmetic
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