There are many depth measures on point sets that yield centerpoint theorems. These theorems guarantee the existence of points of a specified depth, a kind of geometric median. How...
A strong direct product theorem (SDPT) states that solving n instances of a problem requires ˝.n/ times the resources for a single instance, even to achieve success probability 2 ...
In a recent paper, Ginsberg shows how a backward-chaining ATMS can be used to construct a theorem prover for circumscription. Here, this work is extended to handle prioritized cir...
Theorem provers for higher-order logics often use tactics to implement automated proof search. Tactics use a general-purpose metalanguage to implement both general-purpose reasonin...
We prove a number of general theorems about ZK, the class of problems possessing (computational) zero knowledge proofs. Our results are unconditional, in contrast to most previous...