Bianchi’s additional symmetries
نویسندگان
چکیده
منابع مشابه
Heuristics and Symmetries in Classical Planning: Additional Proofs
Proof: We only need to show one direction, since the inverse element σ−1 is also a symmetry. Let π = o1 · . . . · ok be a plan for s and let s0, . . . , sk be the sequence of states such that s0 = s and for 1 ≤ i ≤ k, si = si−1JoiK. Let TΠ = 〈S,E〉. Then we have 〈si−1, si; oi〉 ∈ E for all 1 ≤ i ≤ k and therefore, by the definition of symmetries we have 〈σ(si−1), σ(si);σ(oi)〉 ∈ E and C(σ(oi)) = C...
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ژورنال
عنوان ژورنال: Journal of Homotopy and Related Structures
سال: 2020
ISSN: 2193-8407,1512-2891
DOI: 10.1007/s40062-020-00262-4