Results 41 to 50 of about 201,623 (302)
Relational parametricity for higher kinds [PDF]
Reynolds’ notion of relational parametricity has been extremely influential and well studied for polymorphic programming languages and type theories based on System F.
Atkey, Robert
core +1 more source
Next-generation transportation will be integrated, interconnected and highly autonomous. One key challenge in traffic management is ensuring safety while maintaining the required level of service quality.
Adnan Rashid +3 more
doaj +1 more source
Systematic Verification of the Modal Logic Cube in Isabelle/HOL [PDF]
We present an automated verification of the well-known modal logic cube in Isabelle/HOL, in which we prove the inclusion relations between the cube's logics using automated reasoning tools. Prior work addresses this problem but without restriction to the
Christoph Benzmüller +2 more
doaj +1 more source
Extending Nunchaku to Dependent Type Theory [PDF]
Nunchaku is a new higher-order counterexample generator based on a sequence of transformations from polymorphic higher-order logic to first-order logic. Unlike its predecessor Nitpick for Isabelle, it is designed as a stand-alone tool, with frontends for
Simon Cruanes +1 more
doaj +1 more source
Relational Semantics of Linear Logic and Higher-order Model Checking [PDF]
In this article, we develop a new and somewhat unexpected connection between higher-order model-checking and linear logic. Our starting point is the observation that once embedded in the relational semantics of linear logic, the Church encoding of any ...
Grellois, Charles, Melliès, Paul-André
core +1 more source
Duality Theory and Categorical Universal Logic: With Emphasis on Quantum Structures [PDF]
Categorical Universal Logic is a theory of monad-relativised hyperdoctrines (or fibred universal algebras), which in particular encompasses categorical forms of both first-order and higher-order quantum logics as well as classical, intuitionistic, and ...
Yoshihiro Maruyama
doaj +1 more source
Nested Hoare Triples and Frame Rules for Higher-order Store [PDF]
Separation logic is a Hoare-style logic for reasoning about programs with heap-allocated mutable data structures. As a step toward extending separation logic to high-level languages with ML-style general (higher-order) storage, we investigate the ...
Jan Schwinghammer +3 more
doaj +1 more source
In the perspective of logic mining, the attribute selection, and the objective function of the best logic is the two main factors that identifies the effectiveness of our proposed logic mining model. The non-significant attributes selected will cause the
Nur 'Afifah Rusdi +4 more
doaj +1 more source
Executing Higher Order Logic [PDF]
We report on the design of a prototyping component for the theorem prover Isabelle/HOL. Specifications consisting of datatypes, recursive functions and inductive definitions are compiled into a functional program. Functions and inductively defined relations can be mixed.
Stefan Berghofer, Tobias Nipkow
openaire +1 more source
In recent publications, we presented a novel formal symbolic process virtual machine (FSPVM) framework that combined higher-order logic theorem proving and symbolic execution for verifying the reliability and security of smart contracts developed in the ...
Zheng Yang, Hang Lei
doaj +1 more source

