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Another Look at Automated Theorem-Proving. II
public-key cryptography / public-key cryptography automated proofs proof checking, encryption
2012/3/26
I continue the discussion initiated in part I of whether or not computer-assisted proofs are a promising approach to preventing errors in reductionist security arguments. I examine some recent papers ...
We describe a faithful embedding of the Dolev-Yao model of Backes,
Pfitzmann, andWaidner (CCS 2003) in the theorem prover Isabelle/HOL. This model
is cryptographically sound in the strong sense of r...
ANOTHER LOOK AT AUTOMATED THEOREM-PROVING
automated theorem-proving proof-checking signatures
2008/7/10
I examine the use of automated theorem-proving for reductionist security arguments
in cryptography and discuss three papers that purport to show the potential of computer-assisted proof-writing and ...
A method for mechanical geometry theorem proving is presented. By using this method, if the ascending chains derived via Wu-Ritt's well ordering algorithm satisfy a condition, all the irreducible char...
A Deductive Database Approach to Automated Geometry Theorem Proving and Discovering
deductive database automated geometry theorem proving and discovering search strategies redundant deduction Skolemization structured database
2013/9/9
We report our effort to build a geometry deductive database, which can be used to find thefixpointfor a geometric configuration. The system can find all the properties of the configuration that can be...
Automated Generation of Readable Proofs with Geometric Invariants II. Theorem Proving With Full-Angles
Automated reasoning automated geometry theorem proving method based on angle forward chaining backward chaining
2013/9/9
We present a set of rules based on full-angles as the basis of automated geometry theorem proving. We extend the idea of eliminating variables and points to the idea of eliminating lines. We also disc...
A Class of Geometry Statements of Constructive Type and Geometry Theorem Proving
Geometry theorem proving Wu’s method non-degenerate condition generally true constructive geometry statement Euclidean geometry metric geometry algebraically closed field
2013/9/9
This paper presents a method to generate non-degenerate conditions in geometric form for a class of geometry statements of constructive type,called Class C. We prove a mathematical theorem that in the...
Automated Reasoning in Di®erential Geometry and Mechanics Using the Characteristic Set Method 1 Part II. Mechanical Theorem Proving
Mechanical theorem proving Wu's method Ritt{Wu's decomposition algorithm statement of equation type generally true universally true space curve theory elementary mechanics
2013/9/9
We clarify the formulation problem of mechanical theorem proving in di®erential geometry and mechanics and propose two formulations. We present complete methods of mechanical theorem proving for ...
Mechanical Theorem Proving of the Local Theory of Surfaces
Mechanical Theorem Proving Local Theory Surfaces
2013/9/3
The present paper applies the characteristic set method of algebraic differential polynomials to give a mechanical procedure which permits us to prove non-trivial theorems in the local theory of surfa...