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» Formal Reliability Analysis Using Theorem Proving
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FTRTFT
1998
Springer
15 years 3 months ago
On the Need for Practical Formal Methods
A controversial issue in the formal methods community is the degree to which mathematical sophistication and theorem proving skills should be needed to apply a formal method. A fun...
Constance L. Heitmeyer
RANDOM
1997
Springer
15 years 3 months ago
A Combinatorial Consistency Lemma with Application to Proving the PCP Theorem
The current proof of the PCP Theorem (i.e., NP = PCP(log, O(1))) is very complicated. One source of difficulty is the technically involved analysis of low-degree tests. Here, we r...
Oded Goldreich, Shmuel Safra
117
Voted
TPHOL
1999
IEEE
15 years 3 months ago
Three Tactic Theorem Proving
Abstract. We describe the key features of the proof description language of Declare, an experimental theorem prover for higher order logic. We take a somewhat radical approach to p...
Don Syme
CSL
2008
Springer
15 years 1 months ago
Proving Infinitude of Prime Numbers Using Binomial Coefficients
We study the problem of proving in weak theories of Bounded Arithmetic the theorem that there are arbitrarily large prime numbers. We show that the theorem can be proved by some &...
Phuong Nguyen
AAAI
2000
15 years 1 months ago
The Game of Hex: An Automatic Theorem Proving Approach to Game Programming
The game of Hex is a two-player game with simple rules, a deep underlying mathematical beauty, and a strategic complexity comparable to that of Chess and Go. The massive game-tree...
Vadim V. Anshelevich